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Strange Functions

Description:

Strange Function questions involve symbols that you may or may not recognize. The test makers decide what the strange function does and expect you to follow their directions.

Approach:

Ignore any preconceived notions you may have about the symbol in question. Follow the question's directions exactly, and make up numbers if you are trying to prove an algebraic relationship.


1) These Functions are Made Up

If you see a symbol that you don’t recognize on a math problem, odds are that the problem involves a “strange function.”

A “strange function” question will define the unfamiliar symbol as a particular mathematical process, and then ask you to plug numbers or variables into this function.


2) Practice:

If x & y = (x + y)x, what is 3 & 12?

  1. 3 & 12
  2. (3 + 12)3
  3. 153 = 5

3) Practice:

x @ y = 2x + 3y and x % y = 4x + 2y:

If 5 @ m = m % 6, then m is equal to what number?

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